Solve 12x − 5 = −65

The solution of 12x − 5 = −65 is x = -5.

12x - 5 = -65\ \Rightarrow\ x = -5

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The lines y = 12x − 5 and y = -65 meet at x = -5. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

1
The goal is to get x alone. Undo the operations in the opposite order: first the subtraction, then the multiplication.
$12x - 5 = -65$
2
Add 5 to both sides:
$12x - 5 + 5 = -65 + 5 \ \Rightarrow\ 12x = -60$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-60}{12} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$12\cdot(-5) - 5 = -60 - 5 = -65 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 5 = -65\ \Rightarrow\ x = -5 \]
\[ 12x - 5 = -65 \]
\[ 12x - 5 + 5 = -65 + 5 \ \Rightarrow\ 12x = -60 \]
\[ \frac{12x}{12} = \frac{-60}{12} \ \Rightarrow\ x = -5 \]
\[ 12\cdot(-5) - 5 = -60 - 5 = -65 \checkmark \]

Trying values of x in 12x − 5 = −65

x	12x − 5	Equals -65?
-7	-89	no
-6	-77	no
-5	-65	yes
-4	-53	no
-3	-41	no

Questions

What is x in 12x − 5 = −65?

The solution of 12x − 5 = −65 is x = -5.

How do you solve 12x − 5 = −65?

Add 5 to both sides to get 12x = -60, then divide both sides by 12 to get x = -5.

How do I check the answer?

Replace x by -5: 12(-5) − 5 = -65, which is -65.

Solve 12x − 5 = −65

How to work it out

Trying values of x in 12x − 5 = −65

Questions

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